Astronomical methods of searching for light Goldstone bosons (axions a
nd arions), which are candidates for dark matter, are briefly discusse
d. Three processes for the coupling between axions and photons are con
sidered: (a) the decay of axions into two photons; (b) the conversion
of photons into axions in the magnetic fields of stars and interstella
r and intergalactic media; (c) the inverse transformation of axions ge
nerated inside the cores of stars. The intergalactic light of clusters
of galaxies and the brightness of the night sky are good candidates f
or searches for an emission line arising from the radiative decay of a
xions. The results of observations made with the 6 m telescope of the
Special Astrophysical Observatory do not provide any evidence for the
exsitence of the hadronic axion decay line. The best upper limit for t
he photon-axion coupling constant is derived from linear polarization
observations of magnetic Ap stars.